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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
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s L F N C H V S
L IBF R S F Z F V S
DeF Tyberbola.
Efinitiones hyperbolam concernentes explicata.
D A R S P R I N A
yperbolam sectionesque oppositas, denique C a (emptotos e conoeducit;
primasqe ac fundamentales hyperbola passiones demonstrat.
DRimahyperbola proprietas, quam seilicet habeant inter se rationem, quadrata or-
dinatim applicatarum, e conoipso demonstratur.
Flyperbola opposite, earum que aliquae proprietates.
Fyperbolae similes.
FEyperbolae coniueata.
Explicatur dilucide natura hyperboles.
Deasymptotis.
asimproe ex cono eruuntur, eorumque proprietatos exposita.
540. Pr. 12. 2)que 180
Propositiones varia es fundamentales circa inventionem es determinationem dia-
metrorum, auo e dedinatim applicatarum, contincentium, lateris recti hyper-
boles.
P A R S S E C V ND A
Sectionum oppositarum ac conincatarum affectiones considerat.
Ectiones opposita communes habent diametros. item latera recta habent aequalia
quae communiinseruiunt diametro.
In sectionibus opposiris varia rectancula comparantur inter se.
Diametri coniuratae determinantur.
155. pr. 40. v) gul 4).
Omnia rectancula asymptotis ex hyperbola terminata; quorum latera asymptotis pa
rallela sunt, aequala sunt inter se.
Omnes contingentes hyperbolam terminata ad asymprotos, cum iis faciune criancula
semper inter se aequalia.
Axes minimae sunt omnium diametrorum coniucatarum.
In binis hyperbolarum coniucationibus, paralle locramma quae frunt sub lineis quae aequi-
distant diamerris coniucatis, es sectiones continsunt, omnia aequalia sunt inter se.
160 pr. 49.
Rectanculum quod fit a lineis extrema axium coniuratorum connectentibus, aequale
est illi par auliberammo, quod fit à lineis extrema diametrorum cujusuis coniucatio-
is c70
duadrata linearum extrema axium iuneentium simul sumpra, minora sunt quadratis
que haetres proprietates communes sunt hyperbola cum ellixsi v+ suprâ ostensum.
160. pr. 51.
vac. 528.
531. pr. 2. PaE
533. Pr. 4. 5.
53I. pr. 3
534. pr. 6.
535. in Schol. pr. 8.
539. pr. 9. 10. 11.
pac. 530 pr. 1.
545. à pr. 19. 2 sque 31.
332. pr. 32.83
533.f. 54035. 360
35d. Pr. 460
559. pr. 47.
559. pr. 40
nis connectentibus.
lineatum quae extrema diametrorum n atus contaationis conneltant. At-
Varhae
( i.   pt 1  e  1     1   1      u u.  p  . .        1    p     i p  e  1 i. e   i e in t u  aui